Bangladesh Shilpa Bank Ltd - Officer - 2004 এর প্রশ্ন পড়ুন।

প্রশ্নঃ Which of the following is not an adjective?

বর্ণনাঃ

humor /noun/ মেজাজ।

Humble /adjective/ নম্র; বিনয়ী।

humane /adjective/ দয়ালু।

humid /adj/ আর্দ্র; সিক্ত। 

প্রশ্নঃ A truck driver must complete a 180-mile trip in 4 hours. If he averages 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour?

বর্ণনাঃ

d=s x t

  =50 x 3

  =150

now distance left

=180 -150

=30

thus he need s to travel 30 miles in 4th hour thus his speed should be 30 miles per hour 

প্রশ্নঃ If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?

বর্ণনাঃ

Here, 4 hours = 240 minutes

Now,  50 workers can dig the hole in 240 minutes

So, 30 workers can dig the hole in 240×50/30 = 400 minutes = 6 hours 40 minutes

প্রশ্নঃ The angles of a triangle are in the ratio of 2 : 3 : 4. The largest angle in the triangle is :

বর্ণনাঃ

the sum of all angles of a triangle is 180 .

2x +3x +4x = 180

=> 9x = 180 

=> x= 180/9

∴ x= 20

the largest angle is 20×4= 80 degree

প্রশ্নঃ For every novel in the school library there are two science books, for each science book there are seven economice books. Express the ratio of economics books to science books to novels in the school library as a triple ratio.

বর্ণনাঃ

Novel : Science = 1 : 2

Science : Economics = 1 : 7 = (1×2) : (7×2) = 2 : 14

So,  Economics : Science : Novel = 14 : 2 : 1

প্রশ্নঃ A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000?

বর্ণনাঃ

Profit on first 1000 TK sale = 6% of 1000 = 60 TK.

Profit on the rest (6000-1000=5000) TK sale = 55×5000/1000 = 275 TK.

Total profit = 60 + 275 = 335 TK

প্রশ্নঃ If 40% of all women are voters and 52% of the population are women, what percent of the population are women voters?

বর্ণনাঃ

মনে করি, মোট জনসংখ্যা = 100 জন 

      Women দের সংখ্যা = 52 জন  

Women দের ভোটার সংখ্যা = 52×(40/100)  

                                          = 20.8 

প্রশ্নঃ If 15 men working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men working independently and at the same rate manufacture in 40 minutes?

বর্ণনাঃ

Here, 1 hour = 60 minutes

Now, 15 men in 60 minutes can manufacture 27 baskets

Then, 45 men in 40 minutes can manufacture = 27×45×40/(15×60) = 54 baskets

প্রশ্নঃ If an integer y is subtracted from an integer x and the result is greater than x, then y must be ---

বর্ণনাঃ

x - y > x

x = 1 এবং y = - 1 হলে, x - y = 1 - (-1) = 2>1

x = 1 এবং y = - 2 হলে, x - y = 1 + 2 = 3 >1 

y <0 হলে x - y > x শর্তটি সিদ্ধ হয়। 

প্রশ্নঃ A man walks 30 minutes at an average speed of 3 miles/hour. He waits 10 minutes for a bus, which bring him back to his starting point at 3:15. If he began his walk at 2:25 the same afternoon, find the average speed of the bus?

বর্ণনাঃ

Here,  2:25 pm to 3:15 pm = 50 minutes

Time taken by bus = 50 - (30+10) = 10 minutes = 10/60 hour = 1/6 hour

The man walked for = 30 minutes = 30/60 hour = 1/2 hour

He walked = 3×1/2 = 3/2 miles

So,  speed of the bus = 3/2 ÷ (1/6) = 9 miles per hour

প্রশ্নঃ Coffee A costs 75 cents per pound. It is mixed with Coffee B, which normally costs 80 cents per pound, to form a mixture that costs 78 cents per pound. If there are 10 pounds of the mix, how many pounds of Coffee A were used in the mix?

বর্ণনাঃ

Let the amount of coffee A and coffee B mixed be A  and (10-A)  pounds respectively.

Now,  A×75 + (10-A)×80  = 10×78

or,  75A + 800 - 80A = 780

or,  80A - 75A = 800-780

or,  5A = 20

or,  A = 4 pounds

প্রশ্নঃ The difference between two positive numbers is 16. If the smaller of these two numbers is 3/5 of the larger, what is the value of the smaller number?

বর্ণনাঃ

Let the larger and smaller numbers be X and 3X/5 respectively.

Then,   X - 3X/5 = 16

or,  (5X-3X)/5 = 16

or,  2X = 80

or,  X = 40

So,  the smaller number, 3X/5 = 3×40/5 = 24

প্রশ্নঃ What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons?

বর্ণনাঃ

The least common multiple of 6, 7 and 8 is 168. To distribute the apples among the persons, the number of apples must be multiple of 168. Now, twice of 168 = 168×2 = 336.

So, minimum number of apples must be added = 336 - 264 = 72

প্রশ্নঃ Four partners distribute their income amongst themselves in the proportions 1:2:3:4. What percent of the income is received by the first partner?

বর্ণনাঃ

Income received by the first person = 1 / (1+2+3+4) × 100% = 10%

প্রশ্নঃ An employer pays 3 workers X, Y and Z a total of Tk. 610 a week. X is paid 125% of the amount Y is paid and 80% of amount Z is paid. How much does X make a week?

বর্ণনাঃ

Let their payments be X, Y and Z respectivey.

Now,  X = 125/100 of Y     or,   Y = 100/125 of X = 4X/5

Again,   X = 80/100 of Z    or,   Z = 100/80 of X = 5X/4

Now,   X+Y+Z = 610

or,  X + 4X/5 + 5X/4 = 610

or,  (20X + 16X + 25X) / 20 = 610

or,  61X = 610 × 20

or,  X = 610 × 20 / 61 = 200 TK

প্রশ্নঃ If 2x=7 and 3y=2, then what is 9xy?

বর্ণনাঃ

(2x)(3y) = 7×2

=> 6xy = 14

Multiply both sides by 3/2

∴9xy = 21 

প্রশ্নঃ What value of x satisfies the equation x-1 = 1-x?

বর্ণনাঃ

Here,  x - 1 = 1 - x

or,  x + x = 1  + 1

or,  2x = 2

or,  x = 1